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Finding the Fourth Proportional to 48,341.88, 66,678 and 46,716.24

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Solution

The fourth proportional to 48,341.88, 66,678 and 46,716.24 is: 64,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,341.88 : 66,678 = 46,716.24 : x
  2. Step 2: Convert to fraction form
    48,341.88/66,678 = 46,716.24/x
  3. Step 3: Cross multiply
    48,341.88x = 66,678 × 46,716.24
  4. Step 4: Simplify right side
    48,341.88x = 3,114,945,450.72
  5. Step 5: Solve for x
    x = 3,114,945,450.72/48,341.88
  6. Step 6: Final answer
    x = 64,435.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.